By Maurice Herlihy (auth.), V. Arvind, Sanjiva Prasad (eds.)

ISBN-10: 3540770496

ISBN-13: 9783540770497

This publication constitutes the refereed court cases of the twenty seventh overseas convention at the Foundations of software program expertise and Theoretical machine technology, FSTTCS 2007, held in New Delhi, India, in December 2007.

The forty revised complete papers awarded including 5 invited papers have been rigorously reviewed and chosen from a hundred thirty five submissions. The papers supply unique learn ends up in basic points of computing device technological know-how in addition to studies from the frontline of software program expertise and theoretical machine technology.

A large number of present issues from the idea of computing are addressed, starting from software program technological know-how, programming idea, platforms layout and research, formal equipment, mathematical good judgment, mathematical foundations, discrete arithmetic, combinatorial arithmetic, complexity thought, and automata concept to theoretical machine technological know-how in general.

**Read Online or Download FSTTCS 2007: Foundations of Software Technology and Theoretical Computer Science: 27th International Conference, New Delhi, India, December 12-14, 2007. Proceedings PDF**

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**Additional resources for FSTTCS 2007: Foundations of Software Technology and Theoretical Computer Science: 27th International Conference, New Delhi, India, December 12-14, 2007. Proceedings**

**Sample text**

An important result is that for a regular set of conﬁgurations C, both post∗ (C) and pre∗ (C) (the forward and the backward reachable sets of conﬁgurations, respectively) are also regular sets of conﬁgurations [6, 9]. The algorithms for computing post ∗ and pre ∗ , called poststar and prestar, respectively, take a Pautomaton A as input, and if C is the set of conﬁgurations accepted by A, they produce P-automata Apost ∗ and Apre ∗ that accept the sets of conﬁgurations post ∗ (C) and pre ∗ (C), respectively [6, 17, 18].

5(a) shows a Boolean program with two procedures and two global variables x and y over a ﬁnite domain V = {0, 1, . . , 7}. proc foo n1 x=7 x=3 n2 n bar( ) 3 bar( ) proc bar n7 y=x n4 n5 n6 (a) [[x = 3]] = {((v1 , v2 ), (3, v2 )) | v1 , v2 ∈ V } [[x = 7]] = {((v1 , v2 ), (7, v2 )) | v1 , v2 ∈ V } [[y = x]] = {((v1 , v2 ), (v1 , v1 )) | v1 , v2 ∈ V } n8 (b) Fig. 5. (a) A Boolean program with two procedures and two global variables x and y over a ﬁnite domain V = {0, 1, . . , 7}. (b) The (non-identity) transformers used in the Boolean program.

5 summarizes recent work both on improving and on applying WPDS technology. 1 Background Background on Interprocedural Dataﬂow Analysis Dataﬂow analysis is concerned with determining an appropriate dataﬂow value to associate with each node n in a program, to summarize (safely) some aspect Program Analysis Using Weighted Pushdown Systems 27 of the possible memory conﬁgurations that hold whenever control reaches n. To deﬁne an instance of a dataﬂow problem, one needs – The CFG of the program. – A meet semilattice (V, ) with greatest element : • An element of V represents a set of possible memory conﬁgurations.

### FSTTCS 2007: Foundations of Software Technology and Theoretical Computer Science: 27th International Conference, New Delhi, India, December 12-14, 2007. Proceedings by Maurice Herlihy (auth.), V. Arvind, Sanjiva Prasad (eds.)

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